Holographic plasmon relaxation with and without broken translations

Baggioli, Matteo; Gran, Ulf; Alba, Amadeo Jimenez; Tornsö, Marcus; Zingg, Tobias

doi:10.1007/jhep09(2019)013

Cited by 40 publications

(50 citation statements)

References 90 publications

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“…where the ellipsis indicates higher order corrections in the dimensionless parameter m/T . This second hydrodynamic modes appears in the spectrum obtained numerically and it was already observed in [60,61,70]. In fig.12 we show the results for a specific value of the SSB parameter m/T .…”

Section: The Longitudinal Sectorsupporting

confidence: 74%

Zoology of solid & fluid holography — Goldstone modes and phase relaxation

Baggioli

Grieninger

2019

J. High Energ. Phys.

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100

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We provide a comprehensive classification of isotropic solid and fluid holographic models with broken translational invariance. We describe in detail the collective modes in both the transverse and longitudinal sectors. First, we discuss holographic fluid models, i.e. systems invariant under internal volume preserving diffeomorphisms. We consider the explicit (EXB) and the spontaneous (SSB) breaking of translations and we emphasize the differences with respect to their solid counterpart. Then, we present a study of the longitudinal collective modes in simple holographic solid and fluid models exhibiting the interplay between SSB and EXB. We confirm the presence of light pseudo-phonons obeying the Gell-Mann-Oakes-Renner relation. Our results suggest that the crystal diffusion mode does not acquire a simple damping term because of the novel relaxation scale proportional to the EXB. The dynamics is more complex and it involves the interplay of three modes: the crystal diffusion and two more arising from the splitting of the original sound mode. In this sense, the novel relaxation scale, which comes from the explicit breaking of the global internal shift symmetry of the Stückelberg fields, is different from the one induced by elastic defects, and depending solely on the SSB scale.

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Section: The Longitudinal Sectorsupporting

confidence: 74%

Zoology of solid & fluid holography — Goldstone modes and phase relaxation

Baggioli

Grieninger

2019

J. High Energ. Phys.

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100

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“…both for transverse [37,37] and longitudinal [35,66] waves. Since the diffusive part scales as a higher power of k it is still possible to preserve a clear notion of propagating sound modes and sound speeds -at low enough k. Moreover, the sound speeds of the QNMs can be found numerically by following the motion of the pole as k changes [35,37,66,67]. The numerical result thus obtained for the sound speed agree formally with what one expects from elasticity theory, that is Eq.…”

Section: Sound Speedssupporting

confidence: 71%

Scale invariant solids

2020

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Scale invariance (SI) can in principle be realized in the elastic response of solid materials. There are two basic options: that SI is a manifest symmetry or that it is spontaneously broken. The manifest case corresponds physically to the existence of a non-trivial infrared fixed point with phonons among its degrees of freedom. We use simple bottom-up AdS/CFT constructions to model this case. We characterize the types of possible elastic response and discuss how the sound speeds can be realistic, that is, sufficiently small compared to the speed of light. We also study the spontaneously broken case using Effective Field Theory (EFT) methods. We present a new oneparameter family of nontrivial EFTs that includes the previously known 'conformal solid' as a particular case as well as others which display small sound speeds. We also point out that an emergent Lorentz invariance at low energies could affect by order-one factors the relation between sound speeds and elastic moduli.

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“…This diffusion mode was identified in[50] and in holographic setups in[35,36,51]. If we include first order transport coefficients, these contribute with further k 2 terms to the dispersion relations.…”

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confidence: 80%

Viscoelastic hydrodynamics and holography

Armas

Jain

2020

J. High Energ. Phys.

122

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We formulate the theory of nonlinear viscoelastic hydrodynamics of anisotropic crystals in terms of dynamical Goldstone scalars of spontaneously broken translational symmetries, under the assumption of homogeneous lattices and absence of plastic deformations. We reformulate classical elasticity effective field theory using surface calculus in which the Goldstone scalars naturally define the position of higher-dimensional crystal cores, covering both elastic and smectic crystal phases. We systematically incorporate all dissipative effects in viscoelastic hydrodynamics at first order in a long-wavelength expansion and study the resulting rheology equations. In the process, we find the necessary conditions for equilibrium states of viscoelastic materials. In the linear regime and for isotropic crystals, the theory includes the description of Kelvin-Voigt materials. Furthermore, we provide an entirely equivalent description of viscoelastic hydrodynamics as a novel theory of higher-form superfluids in arbitrary dimensions where the Goldstone scalars of partially broken generalised global symmetries play an essential role. An exact map between the two formulations of viscoelastic hydrodynamics is given. Finally, we study holographic models dual to both these formulations and map them one-to-one via a careful analysis of boundary conditions. We propose a new simple holographic model of viscoelastic hydrodynamics by adopting an alternative quantisation for the scalar fields.

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Holographic plasmon relaxation with and without broken translations

Cited by 40 publications

References 90 publications

Zoology of solid & fluid holography — Goldstone modes and phase relaxation

Zoology of solid & fluid holography — Goldstone modes and phase relaxation

Scale invariant solids

Viscoelastic hydrodynamics and holography

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